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Finding the Fourth Proportional to 382.65, 574.02 and 280.59

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Solution

The fourth proportional to 382.65, 574.02 and 280.59 is: 420.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.65 : 574.02 = 280.59 : x
  2. Step 2: Convert to fraction form
    382.65/574.02 = 280.59/x
  3. Step 3: Cross multiply
    382.65x = 574.02 × 280.59
  4. Step 4: Simplify right side
    382.65x = 161,060.00
  5. Step 5: Solve for x
    x = 161,060.00/382.65
  6. Step 6: Final answer
    x = 420.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.